Chat (o3 Series Model)

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                "content": "Below is one solution in bash. Save the script (for example, as transpose.sh), give it execute permission (chmod +x transpose.sh), and then run it with your matrix string as an argument.\n\n#!/bin/bash\n# This script takes a matrix represented as a string like\n# \"[1,2],[3,4],[5,6]\" and prints the transpose in the same format.\n# Usage: ./transpose.sh \"[1,2],[3,4],[5,6]\"\n\nif [ -z \"$1\" ]; then\n  echo \"Usage: $0 '[1,2],[3,4],[5,6]'\"\n  exit 1\nfi\n\n# Remove any spaces from the input\nmatrix=$(echo \"$1\" | tr -d ' ')\n\n# Split the input rows by replacing \"],\" with a newline.\n# Note: this assumes that no row contains \"]\" other than the closing bracket.\nrows=$(echo \"$matrix\" | sed 's/\\],/\\]\\n/g')\n\n# Read the rows into an array, one line per row.\nreadarray -t rowArray <<< \"$rows\"\n\n# Remove leading \"[\" and trailing \"]\" from each row.\nfor i in \"${!rowArray[@]}\"; do\n  # Remove leading '[' and trailing ']' \n  rowArray[$i]=$(echo \"${rowArray[$i]}\" | sed 's/^\\[//; s/\\]$//')\ndone\n\n# Number of rows in original matrix\nnrows=${#rowArray[@]}\n\n# Determine the number of columns from the first row.\nIFS=',' read -ra firstRowElems <<< \"${rowArray[0]}\"\nncols=${#firstRowElems[@]}\n\n# Store the matrix elements in a 2D style fashion using an associative array.\ndeclare -A matrixArr\nfor i in $(seq 0 $((nrows - 1))); do\n  IFS=',' read -ra elems <<< \"${rowArray[$i]}\"\n  for j in $(seq 0 $((ncols - 1))); do\n    matrixArr[$i,$j]=\"${elems[$j]}\"\n  done\ndone\n\n# Build the output string for the transposed matrix.\n# In the transpose, each new row comes from all elements of the old column.\noutput=\"\"\nfor j in $(seq 0 $((ncols - 1))); do\n  newRow=\"\"\n  for i in $(seq 0 $((nrows - 1))); do\n    if [ \"$i\" -gt 0 ]; then\n      newRow+=\",\"\n    fi\n    newRow+=\"${matrixArr[$i,$j]}\"\n  done\n  # Wrap each row with brackets and append comma separated.\n  if [ -z \"$output\" ]; then\n    output=\"[$newRow]\"\n  else\n    output+=\",[$newRow]\"\n  fi\ndone\n\n# Print the transposed matrix\necho \"$output\"\n\n────────────────────────────\nExample run:\n\n$ ./transpose.sh \"[1,2],[3,4],[5,6]\"\n[1,3,5],[2,4,6]\n\nThis script works by parsing the input string into rows and columns, storing the data in a pseudo-2D array, and finally constructing the transposed string in the same bracket-comma format.",
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